First and Second Order Optimality Conditions Using Approximations for Nonsmooth Vector Optimization in Banach Spaces

被引：0

作者：

P. Q. Khanh

N. D. Tuan

机构：

[1] International University of Hochiminh City,Department of Mathematics

[2] University of Natural Sciences of Hochiminh City,Department of Mathematics

来源：

Journal of Optimization Theory and Applications | 2006年 / 130卷

关键词：

First and second order approximations; vector optimization; relative ; -compactness; asymptotical ; -compactness; optimality conditions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use the first and second order approximations of mappings to establish both necessary and sufficient optimality conditions for unconstrained and constrained nonsmooth vector optimization problems. Ideal solutions, efficient solutions, and weakly efficient solutions are considered. The data of the problems need not even be continuous. Some often imposed compactness assumptions are also relaxed. Examples are provided to compare our results and some known recent results.

引用

页码：289 / 308

页数：19

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